Question

a bucket starts with 6 milliliters of water in it. zoe is dropping marbles into the bucket one at a time. she records the volume in the bucket after each marble is dropped in. the graph below shows the relationship between the number of marbles and the volume in the bucket. write an equation to represent the relationship between the number of marbles and the volume in the bucket. use v to represent the volume in the bucket and x to represent the number of marbles. slope = 2 vertical intercept = 6 equation:

Explanation:

Step1: Recall linear equation form

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the vertical intercept.

Step2: Substitute given values

Here, $v$ (volume) replaces $y$, $x$ is the number of marbles, slope $m=2$, and vertical intercept $b=6$.
Substitute into the form: $v = 2x + 6$

Answer:

$v = 2x + 6$